[4 1. Compute the value of the following infinite sum M + 3- (-2)" 7n 2. Determine whether the following series converge to a real number or not. [5] (a) > cos(- n=1 [5] (b ) [ (-1 ) 212 n=1 3. Determine whether the following series converge to a real number or not. 15] (a) n=10 n ln(n) DO 1 + sin (2n) 151 (b) 2 72 + cos2(n) n = 1 4. Determine whether the following series converge to a real number or not. [4) 7 + In(n) (a) n=3 n2 n+1 [4) - 2" (n2 + 1) 1 [4] (c) n= 1 Vn + in